Alexander G. Ramm, Alex I. Katsevich

The Radon Transform and Local Tomography

• Broschiertes Buch

Produktbeschreibung

Radon Transform and Local Tomography presents new theories and computational methods that cannot be found in any other book. New material, aimed at solving important problems in tomographic imaging and image processing in general, as well as detailed descriptions of the new algorithms and the results of their testing, are expertly covered. The theory described in this book solves the important problem of finding discontinuities of function from its tomographic data. A detailed theoretical analysis and three different solutions to this problem are given, as well as algorithms for practical solutions and examples of applications for both simulated and real-life data.

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 504
• Erscheinungstermin: 30. Juni 2020
• Englisch
• Abmessung: 234mm x 156mm x 27mm
• Gewicht: 758g
• ISBN-13: 9780367448677
• ISBN-10: 036744867X
• Artikelnr.: 66570826

Autorenporträt

Ramm, Alexander G. Katsevich, Alex I.

Inhaltsangabe

Introduction Properties of the Radon Transform and Inversion Formulas Range
Theorems and Reconstruction Algorithms Singularities of the Radon Transform
Local Tomography Pseudolocal Tomography Geometric Tomography Inversion of
Incomplete Tomographic Data Inversion of Cone-Beam Data Radon Transform of
Distributions Abel-Type Integral Equation Multidimensional Algorithm for
Finding Discontinuities of Signals from Noisy Discrete Data Test of
Randomness and Its Applications Auxiliary Results Research Problems
Bibliographical Notes References Index List of Notations

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Summary of the Contents:
1. Introduction
2. Properties of the Radon Transform and Inversion Formulas
3. Range Theorems and Reconstruction Algorithms
4. Singularities of the Radon Transform
5. Local Tomography
6. Pseudolocal Tomography
7. Geometrical Tomography
8. Inversion of Incomplete Tomographic Data
9. Inversion of Cone-beam Data
10. Radon Transform of Distributions
11. Abel-type Integral Equation
12. Multidimensional Algorithm for Finding Discontinuities of Signals from Noisy Discrete Data
13. Test of Randomness and its Applications
14. Auxiliary Results